Question

A block of mass 250 g slides down an incline of inclination 37° with uniform speed. Find the work done against friction as the block slides through 1m.

Answer 1

The work done against friction as the block slides through 1 m is 1.5 N                                                                                                                                      

Explanation:

Step 1:

g is acceleration due to gravity = 10 m/$s^2$

A 250 g mass block slides down a 37 ° incline at a uniform pace.

Component of acceleration = g sin 37

Sin 37 = 0.60

= g × 0.60  

= 10 × 0.60  

= 6 $m/s^2$

Step 2:

The net force on an object is equal to the object's mass compounded by the object's acceleration.

Force = mass X acceleration  

Mass = 250 g

Converting gram to kilogram  

250/1000 = 0.25 kg  

i.e Mass = 0.25 kg

Step 3:

F = m × a

F = 0.250 × 6

F = 1.5 N