Unit Test
A child on a spinning ride at a playground has a centripetal acceleration of 0.80 m/s2. The child completes a full circle every 4.2 s. How far from the center of the ride is the child?
0.36 m
A cyclist rides at a constant speed of 4.5 m/s around a curve. If the centripetal acceleration is 29 m/s2, what is the radius of the curve?
0.70 m
The gravitational force between two asteroids is 6.2 x 10^8 n. Asteroid y has three times
1.1 x 10^16 kg
The orbital period of an object is 2 x 107 s and the total radius is 4 x 1010 m
12560
The orbital period of an object is 2 × 107 s and its total radius is 4 × 1010 m. The tangential speed of the satellite is m/s. (Round to the nearest whole number, do not add any punctuation.)
12566
The table shows satay for the planet Uranus. To the nearest whole number
218
A bicycle tire has a radius of 0.23 m. The tire spins at a constant speed with a centripetal acceleration of 42 m/s2. What is the tangential speed of the tire?
3.1 m/s
The Hubble Space Telescope (HST) orbits 569 km above Earth's surface. If HST has a tangential speed of 7,750 m/s, how long is HST's orbital period? The radius of Earth is 6.38 × 106 m. Make sure to use correct significant figures.
5630 s
The Hubble Space Telescope (HST) orbits 569 km above Earth's surface. Given that Earth's mass is 5.97 × 1024 kg and its radius is 6.38 × 106 m, what is HST's tangential speed?
7570
The orbital period of a satellite is 2x10^6 and its total
7853982
A 1,160 kg satellite orbits Earth with a tangential speed of 7,446 m/s. If the satellite experiences a centripetal force of 8,955 N, what is the height of the satellite above the surface of Earth? Recall that Earth's radius is 6.38 × 106 m and Earth's mass is 5.97 × 1024 kg.
8.02 × 10^5 m
A satellite orbiting Earth has a tangential velocity of 5000
9600000 m
An object is represented by the dot on the motion map. It's at the top of a circle and the arrow is pointing in
A ball on a string that stopped at the top of a vertical loop
Which formula can be used to find the centripetal acceleration of an orbiting object?
Ac= (v^2)/r
The acceleration due to gravity on mercury is 3.7 m/s which is about six times the acceleration
An object weights about one sixth as much but has the same mass on Pluto as on mercury
Sid created a chart to summarize characteristics of satellite motion. Which best describes Sid's error? Tangential speed changes throughout a satellite's orbit. Centripetal force is perpendicular to the velocity of the satellite. Tangential speed increases with a satellite's increasing distance from Earth. Centripetal force can sometimes slow down a satellite in orbit.
Centripetal force is perpendicular to the velocity of the satellite.
Brendan drew a diagram to illustrate the centripetal force acting on a satellite. How can Brendan correct his diagram?
Change the Fg = Fc vector so it is perpendicular to the v vector.
Enrique is giving information about a satellite orbiting earth. r= 3.8 x 108 m
Convert the orbital period to seconds
Why is it incorrect to say that astronauts are weightless in space while orbiting Earth in a space shuttle?
Gravity exists everywhere in the universe. According to the formula, no matter how large the distance between objects, there is still a gravitational force. Astronauts appear weightless while in orbit around Earth because the space shuttle and the astronauts are in free fall around it. Since they fall at the same rate as the space shuttle, the astronauts appear weightless.
Which statements accurately describe satellite motion?
Gravity is the only force acting on a satellite. NOT Inertia is the only cause of a satellite's circular motion. NOT Air resistance prevents satellites from staying in orbit for very long. Circular orbits result from the interaction between gravity and inertia. Gravity provides the centripetal force for satellites. Satellites are in free fall around Earth or other central objects.
Rahul wants to change the motion map shown so that it shows uniform circular motion. What change should Rahul make?
He should change the lengths of the vectors that point tangent to the circle so that each is the same length.
Two satellites, X and Y, are orbiting Earth. Satellite X is1.2 × 106 m from Earth, and Satellite Y is 1.9 × 105 m from Earth. Which best compares the satellites?
Satellite X has a greater period and a slower tangential speed than Satellite Y.
A group of scientists is trying to launch an object into orbit and the object is traveling 6500 m/s
The object is not traveling fast enough to match earths curvature
Which best explains why astronauts appear weightless when they are in a space shuttle orbiting Earth?
They are falling toward Earth at the same rate as the space shuttle.
Which formula can be used to find the tangential speed of an orbiting object
V=2 pier/T
The pitcher on a softball team starts with a windup
W
Which formulas have been correctly rearranged to solve for radius?
a and d. r=gm central/v^2 and r=vT/2 pi
Which would cause the greatest increase in the acceleration of a satellite?
a decrease in the radius and an increase in the tangential speed
In the equation for the gravitational force between two objects, what does G represent?
gravitational constant
What is the only force acting on an object orbiting Earth?
gravity
As the distance between a satellite in a circular orbit and the central object increases, the period of the satellite
increases
The period of a satellite in a circular orbit ______ as the distance from the central object increases.
increases
Once an object enters orbit, what keeps the object moving sideways?
inertia
What causes a satellite to move tangentially to a circular path?
inertia
Which object would be considered to be in a free fall?
one with only gravity acting upon it
Leo drew a force diagram to represent a satellite in orbit around Earth. Which best explains how to correct Leo's diagram?
remove the F(air) vector
Mars, which has a radius of 3.4 × 106 m and a mass of 6.4 × 1023 kg, orbits the Sun, which has a mass of 2.0 × 1030 kg at a distance of 2.3 × 1011m. Mar's revolution around the sun is 687 days. It takes 24 hours and 37 minutes to complete one rotation. Which is greater, the tangential speed of Mars's rotation or revolution?
revolution
Hannah has information about an object in circular orbit around Earth. mEarth = 6.0 × 1024 kg G = 6.67 × 10-11 What additional information does Hannah need in order to calculate the tangential speed of the orbiting object? the mass of the orbiting object the distance of the orbiting object to Earth the orbital period of Earth the radius of Earth
the distance of the orbiting object to Earth
Lexy used the formula shown to calculate the force of gravity on a space shuttle. What does 3 × 105 kg represent?
the mass of the space shuttle
Why are satellites placed into orbit at least 150 km above earths surface
to avoid air resistance
Cecelia dropped a ball from a height of 2 m. The ball fell in a straight path down to the ground. According to Newton's universal law of gravitation, which would change the path of the ball so it traces out the widest curved path possible?
tossing it horizontally at a faster speed
In the equation for a centripetal force, which expression represents the centripetal acceleration of the object?
v^2/r
The chart shows the speeds at which four objects are launched into the air. Based only on the information in the chart, which objects will most likely go into orbit around Earth?
y and z
