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2-5 A small mass is shot with speed Vo from location A. Find the angle θ...
P1.A cannonball is shot at an angle of 45" with an initial velocity vo. This is...
P1.A cannonball is shot at an angle of 45" with an initial velocity vo. This is calculated to exactly land at point B in a projectile trajectory. However, the people at point B launched a rocket with an initial ve locity at 20 from the horizontal sometime after the cannonball launched. The rocket, which will intercept the cannonball at some vertical distance from the ground level, is in a linear path, Find (a) horizontal distance between point A and Point...
(f) (1 point) Using values v0 = 10 m/s, θ = 45◦ , φ = −12◦...
(f) (1 point) Using values v0 = 10 m/s, θ = 45◦ , φ = −12◦ ,
find r.
(g) (1 point (bonus)) For the case where φ = 0◦ (flat ground),
give the simplified expressions for horizontal displacement and
time of flight. Disregard the numerical values from previous
part.
2" (6 points) A projectile is launched with initial velocity vo at angle θ above horizontal The ground is sloped at angle φ w.rt. horizontal, where φ < θ 0
1. A ball of mass m is thrown with speed vo at an angle 0 with...
1. A ball of mass m is thrown with speed vo at an angle 0 with respect to the horizontal. Let the drag force from the air take the form f Newton's second law, the r- and y-components of the acceleration of the ball are given by = mav where a is a constant and v is the speed of the ball. By du (t) = -av,(t), dt de,(t) ay(t)= -g-au,(t), dt where ug (t) and v,(t) are the x-...
A spring-gun projects a small rock from the ground with speed v0 at an angle ?0...
A spring-gun projects a small rock from the ground with speed
v0 at an angle ?0 above the ground. You have been
asked to determine v0. From the way the spring-gun is
constructed, you know that to a good approximation v0 is
independent of the launch angle. You go to a level, open field,
select a launch angle, and measure the horizontal distance the rock
travels. You use g = 9.80 m/s2 and ignore the small height
of the end...
Dr. C. #1: Exploding Projectile: A projectile of mass 9.6 kg is shot from the ground with an init...
Dr. C. #1: Exploding Projectile: A projectile of mass 9.6 kg is shot from the ground with an initial velocity of 12.4 m/s at an angle of 54° above the horizontal. A. Assuming the ground underneath the projectile's path is flat, what is the maximum height h the projectile reaches, its horizontal range R, and the time it spends in the air? Suppose that, at the peak of the projectile's motion, an explosion splits the projectile in half and one...
A ball is launched with an initial speed vo-25.0 m/s and a 50° angle from the...
A ball is launched with an initial speed vo-25.0 m/s and a 50° angle from the top of the cliff at point It takes 3.91 seconds for the ball to reach point 3. The coordinate system is given in this problem. 2. peak Vo-25.0 m/s 2 50° 50 mn | | cliff ground 4 (a) What is the numerical values of ax and ay for the ball in motion? Put down short answers without using any calculation and explanation in...
2. Starting from rest, a block of mass m slides down a frictionless incline at angle...
2. Starting from rest, a block of mass m slides down a frictionless incline at angle θ(0◦ < θ < 90◦) where it runs into a spring of spring constant k. When the block momentarily stops, it has compressed the spring by distance x. Find expressions for (a) the distance the block slides down the incline from when it is released to when it momentarily stops (b) the distance between the point of the first block-spring contact and the point...
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a ...
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a height R/2 before falling back to Earth, where R is the radius of the Earth. Calculate U in terms of G, M (the Earth's mass) and R. The rocket is fired with the same initial speed, but this time at an angle 45° to the horizontal. Calculate its angular momentum J and total energy E, and use these to...
1. 2. Numerical Problems An aeroplane is flying horizontally at a speed of 100 m's releases...
1. 2. Numerical Problems An aeroplane is flying horizontally at a speed of 100 m's releases a bomb at a height of 500 m. Find (1) the time taken by the to reach the ground. (ii) The horizontal distance where the bomb strikes the ground A bomb is dropped from an aeroplane when it is directly above a target at a height of 1500 m. If the speed of the aeroplane in the horizontal direction is be 540 km/h, calculate...
A student throws a water balloon with speed vo from a height h = 1.52 m at an angle θ=39° above the horizontal toward a target on the ground.
A student throws a water balloon with speed vo from a height h = 1.52 m at an angle θ=39° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 7.5 m from the student's feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. Part (a) what is the position vector, Rtarget that originates from the balloon's original position and...
P1.A cannonball is shot at an angle of 45" with an initial velocity vo. This is calculated to exactly land at point B in a projectile trajectory. However, the people at point B launched a rocket with an initial ve locity at 20 from the horizontal sometime after the cannonball launched. The rocket, which will intercept the cannonball at some vertical distance from the ground level, is in a linear path, Find (a) horizontal distance between point A and Point...
(f) (1 point) Using values v0 = 10 m/s, θ = 45◦ , φ = −12◦ ,
find r.
(g) (1 point (bonus)) For the case where φ = 0◦ (flat ground),
give the simplified expressions for horizontal displacement and
time of flight. Disregard the numerical values from previous
part.
2" (6 points) A projectile is launched with initial velocity vo at angle θ above horizontal The ground is sloped at angle φ w.rt. horizontal, where φ < θ 0
1. A ball of mass m is thrown with speed vo at an angle 0 with respect to the horizontal. Let the drag force from the air take the form f Newton's second law, the r- and y-components of the acceleration of the ball are given by = mav where a is a constant and v is the speed of the ball. By du (t) = -av,(t), dt de,(t) ay(t)= -g-au,(t), dt where ug (t) and v,(t) are the x-...
A spring-gun projects a small rock from the ground with speed
v0 at an angle ?0 above the ground. You have been
asked to determine v0. From the way the spring-gun is
constructed, you know that to a good approximation v0 is
independent of the launch angle. You go to a level, open field,
select a launch angle, and measure the horizontal distance the rock
travels. You use g = 9.80 m/s2 and ignore the small height
of the end...
Dr. C. #1: Exploding Projectile: A projectile of mass 9.6 kg is shot from the ground with an initial velocity of 12.4 m/s at an angle of 54° above the horizontal. A. Assuming the ground underneath the projectile's path is flat, what is the maximum height h the projectile reaches, its horizontal range R, and the time it spends in the air? Suppose that, at the peak of the projectile's motion, an explosion splits the projectile in half and one...
A ball is launched with an initial speed vo-25.0 m/s and a 50° angle from the top of the cliff at point It takes 3.91 seconds for the ball to reach point 3. The coordinate system is given in this problem. 2. peak Vo-25.0 m/s 2 50° 50 mn | | cliff ground 4 (a) What is the numerical values of ax and ay for the ball in motion? Put down short answers without using any calculation and explanation in...
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a height R/2 before falling back to Earth, where R is the radius of the Earth. Calculate U in terms of G, M (the Earth's mass) and R. The rocket is fired with the same initial speed, but this time at an angle 45° to the horizontal. Calculate its angular momentum J and total energy E, and use these to...
1. 2. Numerical Problems An aeroplane is flying horizontally at a speed of 100 m's releases a bomb at a height of 500 m. Find (1) the time taken by the to reach the ground. (ii) The horizontal distance where the bomb strikes the ground A bomb is dropped from an aeroplane when it is directly above a target at a height of 1500 m. If the speed of the aeroplane in the horizontal direction is be 540 km/h, calculate...
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