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1) A constant force of 20N is applied to an object of mass 8kg at an angle of 25

ID: 1697078 • Letter: 1

Question

1) A constant force of 20N is applied to an object of mass 8kg at an angle of 25 degrees with the horizontal, causing a displacement of 2m along the horizontal direction.
a) what is the work done by this force on the object?
b) if this took 10s how much power was expended?

2) A spring with a spring constant of 25 N/m is placed on a horizontal frictionless surface and a mass of 1kg is pushed against it. As a result, the spring is compressed by 20cm. This mass is then released.
a) What is the amount of potential energy acquired by the spring when it is
compressed?
b) What is the kinetic energy of the mass after the mass is released and it is no
longer in contact with the spring?
c) What is the velocity of the mass as it leaves contact with the spring?

Explanation / Answer

1) A constant force of 20N is applied to an object of mass 8kg at an angle of 25 degrees with the horizontal, causing a displacement of 2m along the horizontal direction. a) what is the work done by this force on the object? A=20*cos(25)*2=36.2(J) b) if this took 10s how much power was expended? W=A/T=3.62(W) 2) A spring with a spring constant of 25 N/m is placed on a horizontal frictionless surface and a mass of 1kg is pushed against it. As a result, the spring is compressed by 20cm. This mass is then released. a) What is the amount of potential energy acquired by the spring when it is compressed? E_p=0.5*k*x^2=0.5(J) b) What is the kinetic energy of the mass after the mass is released and it is no longer in contact with the spring? energy is conserved so K=E_p=0.5(J) c) What is the velocity of the mass as it leaves contact with the spring? 0.5=0.5*mv^2 so v=1(m/s)