The Potential Energy of Spring NEET Questions

The Potential Energy of Spring

The Potential Energy of Spring MCQ Questions

13.
A block on a spring is pulled to extension xm = 0.2 m, then pushed back to the natural length. Work done by spring force over this round trip is:
A.
+½k(0.2)²
B.
−½k(0.2)²
C.
½k(0.2)²
D.
0
ANSWER :
D. 0
14.
A block (mass m) on a spring (constant k) is released from rest at amplitude xm. Total mechanical energy of the system at displacement x is:
A.
E = ½kx²
B.
E = ½mv²
C.
E = ½kxm² (constant)
D.
E = ½k(xm² − x²)
ANSWER :
C. E = ½kxm² (constant)
15.
In a spring-mass system (amplitude xm, constant k, mass m), the kinetic energy at displacement x is:
A.
K = ½kx²
B.
K = ½kxm²
C.
K = ½k(xm² − x²)
D.
K = ½m(xm − x)²
ANSWER :
C. K = ½k(xm² − x²)
16.
Maximum speed of a block (m) on a spring (k) released from amplitude xm is:
A.
v_max = xm√(m/k)
B.
v_max = xm√(k/m)
C.
v_max = xm²√(k/m)
D.
v_max = √(kxm/m)
ANSWER :
B. v_max = xm√(k/m)
17.
Speed of block (m = 1 kg, k = 100 N/m, xm = 0.4 m) at x = 0.3 m is:
A.
√(7/2) m/s
B.
√(7) m/s
C.
√(3.5) m/s
D.
√(14) m/s
ANSWER :
B. √(7) m/s
18.
At the maximum extension x = xm in a spring-mass system on a smooth surface:
A.
KE is maximum, PE is zero
B.
Both KE and PE are equal
C.
KE = 0, PE = ½kxm² (all energy stored in spring)
D.
Speed equals v_max
ANSWER :
C. KE = 0, PE = ½kxm² (all energy stored in spring)