A box is sliding down a ramp at a speed of 23 ft/s, which is increasing at a rate of v ˙ = 4.5 ft/s^2.   Determine the magnitude and direction of acceleration of the box at x=11 ft.

Q: Determine the increase in speed and the normal component of acceleration at s=2m. At s=0, v =0. s =…

A: Given data: Initial condition: At s = 0, V =0 Since, change in speed = tangential acceleration

Q: he x and y components of the displacement in metres of a point are given by the equations x = 12t3 +…

A: Given Data Component of x is : x=12t3+5t2 component of y is: y=t3-2t Now to calculate the velocity…

Q: The box of negligible size is sliding down along a curved path defined by the parabola y = 0.4x².…

A:

Q: A particle is moving along a straight line such that its acceleration is defined as a (v)= -6v m/s2…

A:

Q: A projectile is fired downward with initial speed vo in an experimental fluid and experiences an…

A: Given data:

Q: An airport shuttle train travels between two terminals that are 1.6 mi apart. To maintain passenger…

A: Write the given information.

Q: Determine the smallest radius that should be used for a highway if the normal component of the…

A: The normal component of acceleration of car αn = 0.8 m/s2 The speed of the car is    Convert…

Q: If the speed of the crate at A is 15 ft/s, which is increasing at a rate v = 3 ft/s², determine the…

A:

Q: An automobile starting from rest speeds up to 12 m/s with a constant acceleration of 1.2 m/s2. Runs…

A: GivenV1=0 m/sV2=12m/sa=1.2m/s2V3=12m/sV4=0m/sa=-1.5m/s2d=390m

Q: F12–20. The box slides down the slope described by the equation y = (0.05x?) m, where x is in…

A: Given Determine y component of velocity at x = 5m

Q: A bowling ball is dropped from a boat so that it strikes the surface of a lake with a speed of 15…

A: There is no relation is given about time  a=10-0.01v2

Q: A car is traveling around a circular track of 840-ft radius. If the magnitude of its total…

A:

Q: Initially, the car travels along a straight road with a speed of 35 m/s. If the brakes are applied…

A: Given: The initial speed of the car is U=35 m/s The final speed of the car is V=10 m/s The time for…

Q: The acceleration of a particle is given by a = -ks², where a is in meters per second squared, k is a…

A:

Q: During a parasailing ride, the boat is traveling at a constant 30 km/hr with a 200-m long tow line.…

A: Draw the schematic diagram. Write the given data.

Q: A moving car accelerates uniformly from 75 m/s at time t=0 s to 135 m/s at t = 10 s. Define. (i) Car…

A: Using equations of motion

Q: Determine the maximum constant speed a race car can have if the acceleration of the car cannot…

A: Given:acceleration, a=7 m/s2radius of curvature, r=180 m

Q: Determine the normal and tangential components of acceleration at s = 0 if v = (4s + 1) m/s, where s…

A: The velocity of the object at s = 0 is The radial acceleration is

Q: A car is travelling along a horizontal circular curved road that has a radius of 500 m. If the speed…

A: Given data: The radius of the curved road is R = 500 m. The tangential acceleration is at = 3000…

Q: A moving car accelerates uniformly from 75 m/s at time t=0 s to 135 m/s at t = 10 s. Define. (b) (i)…

A:

Q: A car is traveling around a circular track of 780-ft radius. If the magnitude of its total…

A:

Q: The velocity of a point mass moving on a curve is v=21+ (2t +20). Determine the equation of the path…

A:

Q: A projectile is fired downward with initial speed vo in an experimental fluid and experiences an…

A:

Q: H.W1: An automobile drives around a traffic circle of radius 30 m. If the wheels of the automobile…

A: Given, Radius of circle = R = 30 m Maximum transverse acceleration = at = 8 m/s2   We know that,…

Q: A body is moving in a curved path with speed of 10 m/s and tangential acceleration of 3 m/s2. If…

A: Given, Speed of the car = v = 10 m/s Tangential acceleration = at = 3 m/s2 Radius of curvature = r =…

Q: A particle is moving along a straight line such that its acceleration is defined as a = (-2v) m/s^2,…

A: Given data: A particle is moving along a straight line with acceleration: a=-2v ms2. Here, v is in…

Q: A projectile is fired downward with initial speed vo in an experimental fluid and experiences an…

A:

Q: An automobile starting from rest speeds up to 12 m/s with a constant acceleration of1.2 m/s^2. Runs…

A:

Q: A car driver is driving his car on a curved track as shown in the figure, at a speed of 316.8 km per…

A:

Q: A car is traveling around a circular track of 760-ft radius. If the magnitude of its total…

A:

Q: A driver enters the exit ramp on a highway at a speed of 40 km/ h and immediately applies the brake…

A: Given data: The initial velocity of the car at A is 40 km/hr VA=40 km/hr=40×518=11.111 m/sec The…

Q: A particle moves along the spiral shown. Knowing that θ is constant and denoting this constant by w…

A: We…

Q: How long will it take for a car, starting from rest, to acquire a speed of 60 mi/hr if its…

A: v= 60 mi/hr = 27 m/sec a= 12 ft/sec2 = 3.65 m/sec2 u=0 m/sec

Q: If A is increasing its speed at 6 m.s2 , whereas the speed of B is decreasing at 9 m.s2 Determine…

A: given the velocity of car A = 33 m/s the velocity of car B = 18 m/s radius of curvature = 13 m…

Q: car moves in a straight line such that for a short time its velocity is defined by v= (3t^2+ 2t)…

A: V=3t2 +2t

Q: a driver is traveling in a curved section of a roadway with a diameter of 1mi the driver is…

A:

Q: A vehicle climbed to a hill which is defined by the equation, ?^2= 625(16 − ?). If the vehicle moves…

A:

Q: A car is traveling around a circular track of 740-ft radius. If the magnitude of its total…

A:

Q: A driver enters the exit ramp on a highway at a speed of 40 km/h and immediately applies the brake…

A: Given Data Speed of the driver, v=40Km/h=40(5/18)m/s=11.11 m/s Radius of the track, R=100 m Net…

Q: A car moves along a circular path with a radius of curvature equal to 40 m. way your speed is…

A: Given data Radius of curvature (ρ) = 40 m Tangential acceleration (at) = 3t S = 20 m   To determine…

Q: A driver is traveling in a curved section of a roadway with a radius of 100m. The driver is…

A: To obtain the tangential acceleration of the car , first angular acceleration must be determined…

Q: A car is traveling around a circular track of 780-ft radius. If the magnitude of its total…

A:

Q: A boat is traveling

A: 6.909 ft/s^2

Q: The collar A in Fig. (a) slides along the rotating rod OB. The angular position of the rod is given…

A: Displacement of an object is defined as the shortest possible change in the position of an object in…

Q: A vehicle climbed to a hill which is defined by the equation, x^2= 625(16 − y). If the vehicle moves…

A:

Q: Consider the particle moving at a speed of 100 m/s in the direction shown in the adjacent figure.…

A: Let us discuss about radial and orthoradial velocity.

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.