I need the exact answers so do NOT round and please show steps 1) A sled is init

Question

I need the exact answers so do NOT round and please show steps

1) A sled is initially given a shove up a frictionless 20o incline. It reaches a maximum vertical height 2.2 m higher than where it started. What was its initial speed?

2) Suppose in the figure below that +1.00 103 J of work are done by the force ?F (magnitude = 30.0 N) in moving the suitcase a distance of 40.0 m. At what angle ? is the force oriented with respect to the ground?

3 )  A 1.5 kg softball is pitched to you at 26 m/s. You hit the ball back along the same path, and at the same speed. If the bat was in contact with the ball for 0.1 s, the magnitude of the average force the bat exerted was ____ Newtons

4)  Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of mA = 15.5 kg and an initial velocity of v0A = 8.05 m/s, due east. Object B, however, has a mass of mB = 28.0 kg and an initial velocity of v0B = 5.05 m/s, due north. Find the magnitude of the final velocity of the two-object system after the collision. _____ m/s

5) The drawing shows a collision between two small balls. Ball 1 has a mass of 100 g and is moving along the x axis with a velocity of 6.00 m/s. It makes a collision with ball 2, which has a mass of 150 g and is initially at rest. After the collision, the two balls fly apart with angles as shown in the figure below (? = 54 and ? = 46). What is the magnitude of the velocity of ball 2 after the collision? _____ m/s

I need the exact answers so do NOT round and please show steps 1) A sled is initially given a shove up a frictionless 20o incline. It reaches a maximum vertical height 2.2 m higher than where it started. What was its initial speed? 2) Suppose in the figure below that +1.00 ½ 103 J of work are done by the force ?F (magnitude = 30.0 N) in moving the suitcase a distance of 40.0 m. At what angle ? is the force oriented with respect to the ground? 3 ) A 1.5 kg softball is pitched to you at 26 m/s. You hit the ball back along the same path, and at the same speed. If the bat was in contact with the ball for 0.1 s, the magnitude of the average force the bat exerted was ____ Newtons 4) Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of mA = 15.5 kg and an initial velocity of v0A = 8.05 m/s, due east. Object B, however, has a mass of mB = 28.0 kg and an initial velocity of v0B = 5.05 m/s, due north. Find the magnitude of the final velocity of the two-object system after the collision. _____ m/s 5) The drawing shows a collision between two small balls. Ball 1 has a mass of 100 g and is moving along the x axis with a velocity of 6.00 m/s. It makes a collision with ball 2, which has a mass of 150 g and is initially at rest. After the collision, the two balls fly apart with angles as shown in the figure below (? = 54½ and ? = 46½). What is the magnitude of the velocity of ball 2 after the collision? _____ m/s

Explanation / Answer

(1/2) * v2 = gh

v2 = 2gh

v = sqrt (2gh)

= sqrt(2 * 9.8 * 2.2)

v = 6.57 m/s

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2) W = (F cos theta ) s

1.00 x 103 = (30.0 cos theta) 40

cos theta =1000 / (30.0 x 40)

theta = arccos(0.648)

theta = 33.56 degrees

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3) F = change in momentum / time

= m( u - v) / t

= 1.5 kg [ 26 m/s - (- 26 m/s) ] / 0.1 s

= 780 N

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4) common velocity = mA vA + mB vB / mA + mB

= (15.5 * 8.05)i + (28 * 5.05 )j / 43.5

= 2.87 i + 3.25 j

magnitude = sqrt [2.872 + 3.252]

= 4.34 m/s

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