A block is placed on an inclined plane with an angle of inclination θ (in degrees) with respect to horizontal. The coefficient of static friction between the block and the inclined plane is 0.4. For what maximum value of θ will the block remain stationary on the inclined surface?

The maximum value of θ that will cause the block to remain stationary on the inclined surface is 21.8°

Explanation:

Given;

coefficient of static friction, μ = 0.4

for the block to remain stationary on the inclined plane, force pushing the block upward must be equal to the force acting downwards.

μR = mgsinθ

μmgcosθ = mgsinθ

μcosθ = sinθ

μ = sinθ/cosθ

μ = tanθ

θ = tan⁻¹(0.4) = 21.8°

Therefore, the maximum value of θ that will cause the block to remain stationary on the inclined surface is 21.8°

its a 5.5 n

glad that

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min