Question

3. A motorcycle has a kinetic energy of 412 J. What kinetic energy would the bicycle have if it had:
a. twice the mass and was moving at the same speed?
b. the same mass and was moving with twice the speed?
C. one-half the mass and was moving with twice the speed?
the same mass and was moving with one-half the speed?
colo
e. three times the mass and was moving with one-half the speed?​

Answer 1

Answer:

814 J, 1648 J, 814 J, 103 J & 309 J respectively

Explanation:

It's given that

• 412 = 0.5mv²

a)

E = 0.5(2m)v² = 2 × 412 J = 814 J

b)

E = 0.5m(2v)² = 4 × 412 J = 1648 J

c)

E = 0.5(m/2)(2v)² = 2 × 412 J = 814 J

d)

E = 0.5m(v/2)² = 1/4 × 412 J = 103 J

e)

E = 0.5(3m)(v/2)² = 3/4 × 412 J = 309 J

Answer 2

814 J, 1648 J, 814 J, 103 J & 309 J respectively

Explanation:

It's given that

412 = 0.5mv²

a)

E = 0.5(2m)v² = 2 × 412 J = 814 J

b)

E = 0.5m(2v)² = 4 × 412 J = 1648 J

c)

E = 0.5(m/2)(2v)² = 2 × 412 J = 814 J

d)

E = 0.5m(v/2)² = 1/4 × 412 J = 103 J

e)

E = 0.5(3m)(v/2)² = 3/4 × 412 J = 309 J