Question

A 2.0 kg mass starts from rest and slides down an inclined plane 8.0 x 10^-1 m long in 0.50 s. What net force is acting on the mass along the incline?

a. 2.0 N
b. 8.0 N
c. 16 N
d. 4.0 N

Answer 1

A 2.0 kg mass starts from rest and slides down an inclined plane 8.0 x 10^-1 m long in 0.50 s. a. 2.0 N is acting on the mass along the incline

Step-by-step explanation:

The net force acting on the mass along the incline can be determined using Newton's second law, which states that
`\( F = ma \)` , where
`\( F \)` is the force,
`\( m \)` is the mass, and
`\( a \)` is the acceleration.

First, calculate the acceleration
`(\( a \))` of the mass. The formula to calculate acceleration is
`\( a = (\Delta v)/(\Delta t) \)` , where
`\( \Delta v \)` is the change in velocity and
`\( \Delta t \)` is the change in time.

Given that the mass starts from rest, the initial velocity
`(\( u \))` is 0 m/s, the displacement
`(\( s \))` is 0.8 m, and the time
`(\( t \))` is 0.50 s, the final velocity
`(\( v \))` can be calculated using the kinematic equation
`\( v = u + at \).`

Now, use the calculated acceleration in Newton's second law to find the net force.

In summary, a.the net force acting on the mass along the incline is calculated by determining the acceleration of the mass using kinematic equations and then applying Newton's second law. The correct answer is 2.0 N.