A cart on an air track is moving at 0.5m/s when the air issuddenly turned off. THe cart comes to rest in 1m. The experimentis repeated with the cart moving at 1 m/s when the air is turnedoff. How far does the cart travel before coming to rest?

a) 1 m

b) 2 m

c) 3 m

d) 4 m

Question

Physics

Dustin Hess

7 September, 00:34

A cart on an air track is moving at 0.5m/s when the air issuddenly turned off. THe cart comes to rest in 1m. The experimentis repeated with the cart moving at 1 m/s when the air is turnedoff. How far does the cart travel before coming to rest?

a) 1 m

b) 2 m

c) 3 m

d) 4 m

+2

Answers (1)

Know the Answer?

Jaiden · Answer 1

D = 4 m

Explanation:

Speed of cart in air track v₁ = 0.5 m/s

Speed of cart moved when air is turned off v₂ = 1 m/s

The distance travelled by the cart is d₁ = 1 m

Work done (W) = F x d

Work done is equal to the kinetic energy

F x d = 1/2mv²

velocity is directly proportional to distance

therefore,

v₁² / v₂² = d₁ / d₂

d₂ = d₁v₂² / v₁²

= 1 m x (1 m / s) ² / (0.5 m/s) ²

= 4 m

A cart on an air track is moving at 0.5m/s when the air issuddenly turned off. THe cart comes to rest in 1m. The experimentis repeated with the cart moving at 1 m/s when the air is turnedoff. How far does the cart travel before coming to rest?a) 1 mb) 2 mc) 3 md) 4 m

A cart on an air track is moving at 0.5m/s when the air issuddenly turned off. THe cart comes to rest in 1m. The experimentis repeated with the cart moving at 1 m/s when the air is turnedoff. How far does the cart travel before coming to rest?

a) 1 m

b) 2 m

c) 3 m

d) 4 m