Question

A spring, with a spring constant of 4000 N/m, is oriented horizontally, and compressed by 10cm. When released, the spring launches a block of mass 1.0 kg along a 5.0-m horizontal section of track, where the coefficient of friction between the block and track is 0.20. The block then goes up a frictionless ramp angled at 60o with the horizontal. How high up the ramp does the block go before it starts to slide back down

Answer 1

Answer:

$d=1.2m$

Explanation:

From the question we are told that:

Spring constant $k= 4000 N/m$

Compressed $l_d= 10cm=>0.10$

Mass $m=1.0kg$

Length of horizontal section  $l=5.0-m$

Coefficient of friction $\mu=0.20$

Angle $\theta=60 \textdegree$

Generally the equation for Kinetic Energy K.E is mathematically given by

 $K.E=\mu mgL+mgdsin\theta$

 $\frac{1}{2}k*l_d^2=\mu mgL+mgdsin\theta$

 $\frac{1}{2}(4000)*0.1^2=0.2*1*9.8*5+1*9.8*d*sin60$

 $d=1.2m$