Answer:
Acceleration of the object will be
Explanation:
We have given mass of the object m = 9 kg
spring constant k = 95 N/m
Spring is stretched by 10 cm
So x = 10 cm = 0.1 m
We know that force is given by
From newton's law we also know that force is given by
F = ma , here m is mass and a is acceleration
So
Answer:
η = 0.0333 = 3.33 %
Explanation:
The efficiency of any device is defined as the ratio of the useful output obtained from that device to the input required by the device. Therefore, the general formula to find the efficiency of any device is given as follows:
where,
η = efficiency of hair dryer = ?
O = Useful Output Given by the Hair Dryer = 150 J
I = Input Energy Required by the Hair Dryer = 4500 J
Therefore,
<u>η = 0.0333 = 3.33 %</u>
ANSWER
EXPLANATION
First, let us make a sketch of the question:
From the diagram:
=> black line represents North
=> green line represents East
=> blue line represents West
=> red line represents South
From the diagram, we see that at the end of his journey, he returns to his start point.
Since displacement is the measure of the change in the position of an object and the boy's position did not change after the journey, his displacement is:
The complete question is :
A hot-air balloon has a volume of 2100 m3 . The balloon fabric (the envelope) weighs 860 N . The basket with gear and full propane tanks weighs 1300 N .
If the balloon can barely lift an additional 3400 N of passengers, breakfast, and champagne when the outside air density is 1.23kg/m3, what is the average density of the heated gases in the envelope?
Solution :
Given volume of the hot air balloon
The balloon fabric weights = 860 N
The weight of the basket with the gear and propane tank = 1300 N
Density of outside air
∴ Total pay load = Weight of the air displaced - weight of gas inside the balloon
Total pay load = 860 + 1300 + 3400
= 5560 N
Mass = density x volume
Weight
Weight = volume x density
Weight of the displaced air = 2100 x 1.23 x 9.8
= 25313 N
Weight of the gas inside the balloon = density x volume
= density x 9.8 x 2100
= density x 20580 N
Therefore substituting the values, we get
⇒ 25313 - (density x 20580) = 5560
⇒ density
So the density of the heated gas
Answer:
P=9.58 W
Explanation:
According to Newton's second law, and assuming friction force as zero:
The acceleration is given by:
So the force exerted by the motor is:
The work done by the motor is given by:
And finally, the power is given by: