In curling, a player gives an initial push to a stone on an ice sheet so that it

Question

In curling, a player gives an initial push to a stone on an ice sheet so that it slides toward a target area on the ice.
In this problem, a stone of mass 20 kg is given an initial velocity of 4 m/s and moves along a straight line toward the target, which is 40 m from the initial position. After 20 seconds, the stone comes to rest right at the target. Please use g = 10 m/s2.

In curling, a player gives an initial push to a stone on an ice sheet so that it slides toward a target area on the ice.
In this problem, a stone of mass 20 kg is given an initial velocity of 4 m/s and moves along a straight line toward the target, which is 40 m from the initial position. After 20 seconds, the stone comes to rest right at the target. Please use g = 10 m/s2.

Explanation / Answer

a)
All the forces are present.

b)
Here the magnitude of the normal force is same as the gravitational force
N = mg = 20 x 10 = 200 N

c)
Initial velocity, u = 4 m/s
Final velocity, v = 0
t = 20 s
Using the formula v = u + at
a = -4/20 = -0.2 m/s2
Its magnitude is 0.2 m/s2

d)
Frictional force = N
Frictional force x distance = Change in energy.
N x d = 1/2 mv2
= mv2/2Nd
= [20 x (4)2] / (2 x 200 x 40) = 0.02

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