Answer:
The load has a mass of 2636.8 kg
Explanation:
Step 1 : Data given
Mass of the truck = 7100 kg
Angle = 15°
velocity = 15m/s
Acceleration = 1.5 m/s²
Mass of truck = m1 kg
Mass of load = m2 kg
Thrust from engine = T
Step 2:
⇒ Before the load falls off, thrust (T) balances the component of total weight downhill:
T = (m1+m2)*g*sinθ
⇒ After the load falls off, thrust (T) remains the same but downhill component of weight becomes m1*gsinθ .
Resultant force on truck is F = T – m1*gsinθ
F causes the acceleration of the truck: F= m*a
This gives the equation:
T – m1*gsinθ = m1*a
T = m1(a + gsinθ)
Combining both equations gives:
(m1+m2)*g*sinθ = m1*(a + gsinθ)
m1*g*sinθ + m2*g*sinθ =m1*a + m1*g*sinθ
m2*g*sinθ = m1*a
Since m1+m2 = 7100kg, m1= 7100 – m2. This we can plug into the previous equation:
m2*g*sinθ = (7100 – m2)*a
m2*g*sinθ = 7100a – m2a
m2*gsinθ + m2*a = 7100a
m2* (gsinθ + a) = 7100a
m2 = 7100a/(gsinθ + a)
m2 = (7100 * 1.5) / (9.8sin(15°) + 1.5)
m2 = 2636.8 kg
The load has a mass of 2636.8 kg
Decrease the amount of work done.
A magnifying glass is a simple microscope
Car B, Car C, And Car E Are either speeding up or slowing down
- Pressure = 5000 Pa
- Contact Area = 0.04 m^2
- Acceleration due to gravity = 9.8 m/s^2
- Let the force be F.
- We know, Force = Pressure × Contact Area
- Therefore, Force = 5000 Pa × 0.04 m/s^2
- or, Force = 200 N
- We know, force = mass × acceleration
- Therefore, mass = force ÷ acceleration
- or, mass = 200 N ÷ 9.8 m/s^2 = 20.4 Kg
<u>Answer</u><u>:</u>
<u>2</u><u>0</u><u>.</u><u>4</u><u> </u><u>Kg</u>
Hope you could understand.
If you have any query, feel free to ask.
