You are designing an amusement park ride. A cart with two riders moves horizontally with speed υ = 6.00 m/s. You assume that the total mass of cart plus riders is 300 kg. The cart hits a light spring that is attached to a wall, momentarily comes to rest as the spring is compressed, and then regains speed as it moves back in the opposite direction. For the ride to be thrilling but safe, the maximum acceleration of the cart during this motion should be 3.00g. Ignore friction. What is (a) the required force constant of the spring, (b) the maximum distance the spring will be compressed?
You are designing an amusement park ride. A cart with two riders moves horizontally with speed υ = 6.00 m/s. You assume that the total mass of cart plus riders is 300 kg. The cart hits a light spring that is attached to a wall, momentarily comes to rest as the spring is compressed, and then regains speed as it moves back in the opposite direction. For the ride to be thrilling but safe, the maximum acceleration of the cart during this motion should be 3.00g. Ignore friction. What is (a) the required force constant of the spring, (b) the maximum distance the spring will be compressed?
You are designing an amusement park ride. A cart with two riders moves horizontally with speed υ = 6.00 m/s. You assume that the total mass of cart plus riders is 300 kg. The cart hits a light spring that is attached to a wall, momentarily comes to rest as the spring is compressed, and then regains speed as it moves back in the opposite direction. For the ride to be thrilling but safe, the maximum acceleration of the cart during this motion should be 3.00g. Ignore friction. What is (a) the required force constant of the spring, (b) the maximum distance the spring will be compressed?
The block of mass m = 2 kg is released from the rest on the incline. If 0 = 15°, what is the
velocity of the block 2 seconds after release?
Ms = 0.3, k = 0.20
1.288 m/s
3.084 m/s
2.511 m/s
m
0
Ө
A 670 N student stands in the middle of a
frozen pond having a radius of 6.9 m. He is
unable to get to the other side because of a
lack of friction between his shoes and the ice.
To overcome this difficulty, he throws his 2.9
kg physics textbook horizontally toward the
north shore at a speed of 6.9 m/s.
The acceleration of gravity is 9.81 m/s².
How long does it take him to reach the
south shore?
Answer in units of s.
A very massive cart A fitted with a compressible spring and
initially moving to the right collides with a much less massive
cart B which is initially at rest. Both carts roll with negligible
friction and are constrained to move along a straight track. The
graph shows the force that the spring exerts on cart B as a
function of time during the T seconds that the spring acts on cart
B. Cart B travels a distance D while the spring acts on it. At
what instant does the spring store the greatest potential energy?
At what instant does cart B have the greatest kinetic energy?
Suppose that the experiment is repeated with a stiffer spring so that Fmax is doubled and T is halved. How
would this affect the final speed of the cart and the distance D? Justify your answers.
A 0000000
F.
T %T ¾T
тах
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