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3a) k = 500 N/m

3b) x = 0.05 m

3c) F = 2.5 N

4a) W = 120 N

4b) W = 5 N

4c) W = 0.2 N

Explanation:

3a) Force; F = 10 N.

Extension; x = 20 mm = 0.02 m

Formula for spring constant is;

K = F/x = 10/0.02

k = 500 N/m

3b) Force is now; F = 25 N

Since k = 500 N/m

Then x = F/k = 25/500

x = 0.05 m

3c) extension is now 5 mm = 0.005 m

Thus; F = kx = 500 × 0.005

F = 2.5 N

4a) Formula for weight is;

W = mg.

g = 10 N/kg

m = 12 kg

Thus; W = 12 × 10

W = 120 N

4b) Mass; m = 500 g = 0.5 kg

Thus; W = 0.5 × 10

W = 5 N

4c) mass; m = 20 g = 0.02 kg

W = 0.02 × 10

W = 0.2 N

0.19 m/s and 0.45 m/s

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.