A certain object weighs 284 N at the earth's surface. Determine (a) the mass of the object (in kilograms) and (b) its weight (in newtons) when located on a planet with an acceleration of gravity equal to 6 ft/s². (a) (b) kg N
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- A) Two men are pulling a wooden box by applying two forces on it. First man apply a force of magnitude of 50N at an angle of 24° with the negative x- axis (-x axis). The second man applies a force of magnitude 52N at an angle of 42.0° east of north. Find the magnitude and direction of the resultant force which will move the box. What will be the acceleration of the box if it has a mass of 30kg.A large crate of mass m is placed on the back of a truck but not tied down. As the truck accelerates forward with an acceleration a, the crate remains at rest relative to the truck. What force causes the crate to accelerate forward? (a) the normal force (b) the force of gravity (c) the force of friction between the crate and the floor of the truck (d) the “ma” force (e) none of these12
- A block of mass M slides down a frictionless plane inclined at an angle è with the horizontal. The gravitational force is directed a) parallel to the plane in the same direction as the movement of the block. b) perpendicular to the plane. O c) parallel to the plane in the opposite direction as the movement of the block d) toward the center of the Earth.A) find HIS initial acceleration B) find HER initial acceleration C) If the astronauts acceleration remained constant, how many days would they have to wait before reaching each other? (Careful! They both have acceleration towards each other)An astronaut takes a set of scales to do some measurements while travelling. Before leaving earth, the astronaut stands on the scales and they read "75 kg". Determine what the readings would be in the following circumstances. (You will first need to decide what the scales physically relate to). (a) On the moon where gravity is 1.6 m/s² nds o t tant (b) Near the surface of Jupiter where gravity is 26 m/s? the Tian (of mas m basks in the sen on a dop Which ofe The de of the no fore (c) In the spaceship travelling in between planets the ig lore ain .ont fom an action The direction of the o l foree acting on the ands verically upwants 4 The normal frce tg on he wegh
- Astronauts in orbit are apparently weightless. This means that a clever method of measuring the mass of astronauts is needed to monitor their mass gains or losses and adjust their diet. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 45.0 N is exerted, and an astronaut's acceleration is measured to be 0.662 m/s². (a) Calculate her mass (in kg). 67.98 kg (b) By exerting a force on the astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the spaceship that would be measured by a nearby observer. (Enter the magnitude. Use the following as necessary: mastro for the astronaut's mass, mship for the spaceship's mass, and a astro for the magnitude of the astronaut's acceleration. Do not substitute numerical values; use variables only.) mastro“ astro a ship ashipSince astronauts in orbit are apparently weightless, a clever method of measuring their masses is needed to monitor their mass gains or losses to adjust diets. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 50.0 N is exerted and the astronaut’s acceleration is measured to be 0.893 m/s2 (a) Calculate her mass. (b) By exerting a force on the astronaut, the vehicle in which they orbit experiences an equal and opposite force. Discuss how this would affect the measurement of the astronaut’s acceleration. Propose a method in which recoil of the vehicle is avoided.A 71-kg woman holds a 9-kg package as she stands within an elevator which briefly accelerates upward at a rate of 0.19g. Determine the force R which the elevator floor exerts on her feet and the lifting force L which she exerts on the package during the acceleration interval. If the elevator support cables suddenly and completely fail, what values would R and Lacquire? Answers: 9kg 71kg H *** While accelerating, 0.19g R= i After the cables fail, R = i N L = i N L = i N N
- A flea jumps by exerting a force of 1.35 x 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 0.660 x 107 N on the flea. Find the direction and magnitude of the acceleration of the flea its mass is 5.70 x 10 +y-direction is up.) kg. Do not neglect the gravitational force. (Assume that the breeze blows in the +x-direction and that the magnitude direction m/s2 x ° counterclockwise from the +x-axisEXAMPLE 5-11 ESTIMATE Gravity on Everest. Estimate the effective value of g on the top of Mt. Everest, 8850 m (29,035 ft) above sea level (Fig. 5-20). That is, what is the acceleration due to gravity of objects allowed to fall freely at this altitude? Ignore the mass of the mountain itself. APPROACH The force of gravity (and the acceleration due to gravity g) depends on the distance from the center of the Earth, so there will be an effective value g on top of Mt. Everest which will be smaller than g at sea level. We assume the Earth is a uniform sphere (a reasonable "estimate"). SOLUTION We use Eq. 5-5, with r replaced by r = 6380 km + 8.9 km 6389 km 6.389 x 106 m: (6.67 x 10-11 N-m2/kg²)(5.98 x 1024 kg) (6.389 x 10° m) which is a reduction of about 3 parts in a thousand (0.3%). ME 8 = G- = 9.77 m/s, %3D %3D How many Significant Figures are in the answer? Check-5 A flea jumps by exerting a force of 1.26 x 10" N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 0.580 × 10–6 N on the flea. Find the direction and magnitude of the acceleration of the flea if its mass is 6.30 x 10¬7 kg. Do not neglect the gravitational force. (Assume that the breeze blows in the +x-direction and that the +y-direction is up.) magnitude m/s2 direction ° counterclockwise from the +x-axis