7. A 20.0 kg box traveling initially at 5.0 m/s slides to a stop on a surface where μ=0.300. Δd = Calculate how far the box travels before coming to a stop (HINT 2a ). Include a FBD.

27.  Two blocks are attached to a light string. Block A (mA=14.6kg) is at rest on a frictionless table. Block B (mB=5.73kg) hangs off the edge of the table, as shown. Both blocks are released from rest.Using the 2-system approach, what is the acceleration of the system?a=       ms2*Round your answer to the nearest thousandth if necessary.

a frictionless plane is 10.0 m long and inclined at 31.0 degree a sled starts at the bottom with an initial speed of 5.40 m/s up to incline. when the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed v1. both sleds reach the bottom of the cline at the same time. A. determine the distance that the first sled traveled up the incline. ___________ m Determine the initial speed of the second sled _________ m/s

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77 X 7. A roller coaster reaches the top of the steepest hill with a speed of 6.80 km/h. It then descends the hill, which is at an average angle of 40° and is 59.0 m long. What will its speed be when it reaches the bottom? Assume Hk = 0.16. m/s E C 4 F T G B MacBook Air H U N J WA M K MOSISO भ command option

In the rollercoaster shown in the figure, the height of the first hill is 24.5 meters, and the height of the second hill is 12.8 meters. The track of the rollercoaster is frictionless.    If the rollercoaster car’s velocity is 20.4 m/s, what was its velocity at the top of the first hill?  v =    m/s

1. A box is being pulled up a 40° incline by a 7.0 kg block suspended from a frictionless, massless pulley. The box does not start at the very bottom of the incline. The block is suspended 2.0 m above the ground. The coefficient of kinetic friction between the box and the incline is 0.40. The block is released from rest. At the moment the block hits the ground, the box is traveling at 2.0 m/s up the incline. What is the mass of the box?

A 45.0-kg child swings in a swing supported by two chains, each 3.10 m long. The tension in each chain at the lowest point is 340 N. Find the child's speed at the lowest point. m/s

. A 3.0kg cannon ball is shot from a cannon at a speed of 20m/s. The cannon is oriented50 degrees above the horizontal and the cannon’s barrel is 8.0m above the ground. Youwant to position a mat that will catch the cannon ball.a. Determine how much time the cannon ball will spend in flight.b. Draw a force diagram for three points during the cannon ball’s flight (1) while itis being shot from the cannon, (2) when it is at its maximum height, and (3) whenit is half-way between the maximum height and the mat.c. Determine the horizontal distance from the end of the barrel where you shouldplace the mat so that it will catch the ball.d. How fast is the cannon ball moving just before it hits the mat?

m L 4. A box with a mass m = 0.4 kg is released from rest at the top of a curved section of a track that is one quarter of a circle with a radius R = 0.2m. When the box reaches the bottom of the curved track it slides on a horizontal section of the track. There is no friction on the curved section of the track. a. Find the velocity of the box at the bottom of the curved section of the track. b. Find the normal force on the block when it is at the bottom of the circular section of the ramp. If there is a Resistive force F on the horizontal section of the track and is given as a function of speed by F=-4v² c. Write down the differential equation for the speed of the block. 1 d. Show that the solution can be written as: v = 0.5 + 10t