Tarzan, who weighs 777 N, swings from a cliff at the end of a 16.5 m vine that hangs from a high tree limb and initially makes an angle of 21.9° with the vertical. Assume that an x axis points horizontally away from the cliff edge and a y axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is 721 N. Just then, what are (a) the force from the vine on Tarzan in unit-vector notation, and (b) the net force acting on Tarzan in unit-vector notation? What are (c) the magnitude and (d) the direction (measured counterclockwise from the positive x-axis) of the net force acting on Tarzan? What are (e) the magnitude and (f) the direction of Tarzan's acceleration just then?

Q: Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the…

A: Consider the free-body diagram fo the box-child system as follows.

Q: In the figure, a 5.20 kg block is sent sliding up a plane inclined at θ = 37.0° while a horizontal…

A: Free body diagram on the block is given as:

Q: A child leaves her book bag on a slide. The bag, which is at the top of the slide, starts from rest…

A:

Q: A lamp hangs vertically from a cord in a descending elevator that decelerates at 1.9 m/s2. (a) If…

A:

Q: A car weighing 1202kg accelerates from a stop to 100km/hr in 4.3 sec going up a ramp at an angle of…

A: Given quantities: Mass of the car (m) = 1202 kg initial velocity of car (u) = 0 final velocity of…

Q: A box with a mass of 8.80 kg slides up a ramp inclined at an angle of 28.3° with the horizontal. The…

A: The free body diagram is shown below: According to the work-energy theorem, the equation can be…

Q: The small cart of mass m is nudged with negligible velocity from its horizontal position at A onto…

A: Draw the free-body diagram of the system.

Q: A lamp hangs vertically from a cord in a descending elevator that decelerates at 2.7 m/s2. (a) If…

A: Part (a) Given: The tension in the string is 97 N. The elevator is descending with deacceleration is…

Q: A 4.5-kg object is dropped vertically (with zero horizontal speed) from a tall building with an…

A:

Q: A sphere of mass 2.6 × 104 kg is suspended from a cord. A steady horizontal breeze pushes the sphere…

A:

Q: A crate that weighs w = 110 N is located on a rough surface. When a force Fapplied = 40 N is exerted…

A: As per guidelines only 3 subparts are solved here. Given, Weight, W = 110 N Fapplied = 40 N

Q: A child is playing on a hill with a cardboard box. The combined mass of child and box is ? = 120 kg.…

A: Combined mass of child and the box is m = 120 kg Coefficient of static friction is μs=0.4…

Q: A circus gymnast hangs from two ropes attached to the ceiling while lowering himself to the floor at…

A: Given: The angle of the first rope with vertical is 28.3°. The tension in the first rope is 352 N.…

Q: A Zamboni has broken down and is being pulled across the ice (consider it frictionless) by City of…

A:

Q: A 10.0 kg box rests on a horizontal board. One end of the board is slowly raised and it makes an…

A: Write the expression for vertical component of weight of the box.

Q: Two horizontal forces act on a 2.7 kg chopping block that can slide over a frictionless kitchen…

A:

Q: In the figure, a 5.30 kg block is sent sliding up a plane inclined at 0 = 37.0° while a horizontal…

A:

Q: A dated box of dates, of mass 7.1 kg, is sent sliding up a frictionless ramp at an angle of θ to the…

A:

Q: On her way to visit Grandmother, Red Riding Hood sat down to rest and placed her 1.20-kg basket of…

A: Mass of basket: m = 1.20 kg Force applied by wolf: FW = 6.40 N Angle between wolf force and…

Q: There are two forces on the 2.13 kg box in the overhead view of the figure but only one is shown.…

A: Calculate the magnitude of the net force. F=maF=(2.13 kg)(14 m/s2)F=29.82 N

Q: A ball with a unknown mass is attached to a cable and suspended from the ceiling. The distance from…

A:

Q: A child leaves her book bag on a slide. The bag, which is at the top of the slide, starts from rest…

A:

Q: A block of mass M = 2.0 kg rests on a rough horizontal surface. The block starts to slide when a…

A:

Q: A 1,652-kg car starts from rest at the top of a driveway 7.03 m long that is sloped at an angle of…

A:

Q: lock of mass 2.00 kg starts from rest at the edge of the ramp as shown. It is pushed up ramp by a…

A: Motion of projectile can be divided into x component and y component. After leaving point A motion…

Q: block of mass m=64.4kg slides along a horizontal surface. The coefficient of kinetic friction…

A:

Q: Two horizontal forces act on a 2.7 kg chopping block that can slide over a frictionless kitchen…

A:

Q: Two horizontal forces,  P and Q, are acting on a block that is placed on a table. We know that  P…

A:

Q: A block of mass m = 0.5 kg is kicked so that it slides up a ramp inclined at an angle θ = 30°. At…

A:

Q: car (m = 1980 kg) is parked on a road that rises 13° above the horizontal. What are the magnitudes…

A: Mass of car (m) = 1980 kg Angle of road with the horizontal (θ) = 13o above horizontal

Q: A lamp hangs vertically from a cord in a descending elevator that decelerates at 2.9 m/s². (a) If…

A: Solution: Given: g = gravitational acceleration = 9.81 m/s2 a1 = deceleration of descending elevator…

Q: As part (a) of the drawing shows, two blocks are connected by a rope that passes over a set of…

A: The weight of the heavier block is: W = 908 NThe weight of the lighter block is: W'= 412 N

Q: A dated box of dates, of mass 4.2 kg, is sent sliding up a frictionless ramp at an angle of 0 to the…

A: Mass of box (m)= 4.2 kg  Angle of ramp with horizontal = θ  Ramp is frictionless Box is sent sliding…

Q: Two horizontal forces, P and Q, are acting on a block that is placed on a table. We know that P is…

A: F (P ) = - 6.1 NF (Q) =x Nmass = 3.8 kg solution for part bacceleration = 7.5 m/s^2Net force = mass…

Q: A snowboarder and his board with a combined mass of 50.0 kg moving at 9.50 m/s are about to go up an…

A:

Q: A car (m = 1790 kg) is parked on a road that rises 17° above the horizontal. What are the magnitudes…

A: Given that,  Mass of the car, m=1790 kg Incline angle, θ=17o Normal force, FN=? Static frictional…

Q: For the next three items: A 200 kg plank is projecting a distance L = 5.0 m from a wall which is…

A:

Q: In the figure, a block of mass m = 3.71 kg is pulled along a horizontal frictionless floor by a cord…

A: Given  values: Block of mass, m=3.71 kg Applied force, F=12.7 N Angle, θ=26° Resolving all the…

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: