What is the specific heat capacity for a 5 g sample of metal that absorbs
100 Joules of heat energy when its temperature changes from 10 degrees
C to 40 degrees C?*
A) 15, 000 J/gC
B) 2 J/go
C)0.67 J/gC
D) 0.50 J/go

The specific heat capacity is 0.67

Explanation:

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

The amount of heat that a body receives or transmits is determined by the following expression:

Q = c * m * ΔT

Where Q is the heat exchanged by a body of mass m, made up of a specific heat substance c and where ΔT is the temperature variation.

This expression indicates that between heat and temperature there is a direct proportional relationship.

In this case:

Replacing:

100 J= c*5 g* 30°C

Solving:

c= 0.67

The specific heat capacity is 0.67

(newtons first law)

conservation of momentum law states :

momentum before collision = momentum after collision

momentum p (kg-m/s)= mass * velocity

say moving car=1 000 kg, velocity = 10 m/s then p = 1 000*10= 10 000 kg-m/s

say still car = 2 000 kg, velocity = 0 m/s then p = 2 000* 0 = 0 kg-m/s

total momentum prior to collision = 10 000 + 0 = 10 000 kg-m/s

momentum after collision = 10 000 kg-m/s

mass now = 1 000 kg+2 000 kg = 3 000 kg

10 000 = 3 000 kg* velocity m/s

10 000/3 000 = velocity

3.33 m/s = velocity after collision

an impulse is a force applied over time , momentum is exclusive of external forces and a perfect collision is implied