Newton’s Second Law corrected the old belief that force is needed to maintain motion. This idea came from the philosopher:
Advertisements
Advertisements
प्रश्न
An aircraft executes a horizontal loop at a speed of 720 km/h with its wings banked at 15°. What is the radius of the loop?
Advertisements
उत्तर १
Here v = 720 km/h = `720xx 5/18` m/s = 200 m/s and angle of banking `theta = 15^@`
From the relation
`tan theta = v^2/"rg"` we have
`r = v^2/(g tan theta) = (200xx200) /(10 xx tan 15^@) = (200xx200)/(10xx0.2679)`
=> r = 14931 m = 14.9 km
shaalaa.com
उत्तर २
Speed of the aircraft, v = 720 km/h = `720xx5/18 = 200` m/s
Acceleration due to gravity, g = 10 m/s2
Angle of banking, θ = 15°
For radius r, of the loop, we have the relation:
`tan theta = v^2/"rg"`
`r = v^2/(g tan theta)`
`= (200xx200)/(10xx tan 15) = 4000/0.268`
= 14925.37 m
= 14.92 km
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
संबंधित प्रश्न
A batsman deflects a ball by an angle of 45° without changing its initial speed which is equal to 54 km/h. What is the impulse imparted to the ball? (Mass of the ball is 0.15 kg.)
A helicopter of mass 1000 kg rises with a vertical acceleration of 15 m s–2. The crew and the passengers weigh 300 kg. Give the magnitude and direction of the
(a) force on the floor by the crew and passengers,
(b) action of the rotor of the helicopter on the surrounding air,
(c) force on the helicopter due to the surrounding air.
A car accelerates on a horizontal road due to the force exerted by.
car moving at 40 km/hr is to be stopped by applying brakes in the next 4 m. If the car weighs 2000 kg, what average force must be applied to stop it?
Both the springs shown in the following figure are unstretched. If the block is displaced by a distance x and released, what will be the initial acceleration?
An aeroplane is moving uniformly at a constant height under the action of two forces (i) Upward force (lift) and (ii) Downward force (weight). What is the net force on the aeroplane?
Show that the rate of change of momentum = mass × acceleration. Under what condition does this relation hold?
State the Newton's second law of motion. What information do you get from it?
State Newton's second law of motion. Under what condition does it take the form F = ma?
The unit of linear momentum is :
A force acts for 10 s on a stationary body of mass 100 kg, after which the force ceases to act. The body moves through a distance of 100 m in the next 5 s. Calculate: The velocity acquired by the body.
A motorcycle of mass 100 kg is running at 10 ms−1. If its engine develops an extra linear momentum of 2000 Ns, calculate the new velocity of a motorcycle.
State two factors which determine the momentum of a body.
Prove mathematically F = ma
Multiple Choice Question. Select the correct option.
The impulse of a body is equal to:
Multiple Choice Question. Select the correct option.
Which of the following are vector quantities?
A stone is dropped from a cliff 98 m high.
What will be its speed when it strikes the ground?
The motion of a particle of mass m is given by x = 0 for t < 0 s, x(t) = A sin 4 pt for 0 < t < (1/4) s (A > o), and x = 0 for t > (1/4) s. Which of the following statements is true?
- The force at t = (1/8) s on the particle is – 16π2 Am.
- The particle is acted upon by on impulse of magnitude 4π2 A m at t = 0 s and t = (1/4) s.
- The particle is not acted upon by any force.
- The particle is not acted upon by a constant force.
- There is no impulse acting on the particle.
