Before it reaches the ramp, the toy's kinetic energy is
(1/2) (mass) (speed²)
= (1/2) (3 kg) (16 m²/s²)
= 24 Joules .
On the way up the ramp, its kinetic energy will change to
gravitational potential energy, and it'll stop when it's height
gives it 24 joules of potential energy.
Potential energy = (mass) (gravity) (height)
24 joules = (3 kg) (9.8 m/s²) (height)
Divide each side by 29.4 kg-m/s² (that's the same as 29.4 newtons):
Height = 24 joules / 29.4 newtons
= 0.816 meter higher than the bottom of the ramp.
A fire because you feed it wood, it lives longer but if you give it a drink, water, then it dies.
The sample of the solid in grams is 5.5g
HOW TO CALCULATE SPECIFIC HEAT CAPACITY:
- The quantity of heat absorbed or released by a substance can be calculated using the following formula:
Q = m × c × ∆T
Where;
Q = quantity of heat absorbed/released (cal)
m = mass of the substance (g)
c = specific heat (cal/g°C)
∆T = change in temperature (°C)
- According to the information provided in this question:
Q = 7.90Kcal = 7900cal
m = ?
c = 11.5 cal/g°C
T1 = 135K = 135K − 273.15 = -138.1°C
T2 = 260K = 260K − 273.15 = -13.15°C
∆T = -13.15 - (-138.1) = 124.95°C
- Hence, the mass of the substance can be calculated as follows:
m = Q ÷ c∆T
m = 7900 ÷ (11.5 × 124.95)
m = 7900 ÷ 1436.93
m = 5.5grams.
Therefore, the sample of the solid in grams is 5.5g.
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